In the present study, we directly explore the Higgs-top coupling at high energy scales using the \(t\bar{t}h\)  production channel. For an on-shell Higgs production with high transverse momentum, this process effectively probes the top-quark Yukawa interaction at a high scale in both the space-like and time-like regimes. In contrast, the off-shell Higgs physics probes the complementary physics only in the time-like domain [1]}, [2]}, [3]}. As a concrete formulation, we study the BSM effects to the Higgs-top Yukawa in the Effective Field Theory (EFT) framework, focusing on two relevant higher dimensional contributions. Then, we move on to a BSM hypothesis that features a non-local momentum-dependent form factor of the Higgs-top interaction [2]}, [3]}. This form
factor generally captures the top Yukawa composite substructure. To combine the large event yield with a high energy physics probe, we focus on the channel with the largest Higgs decay branching fraction, \(\mathcal {BR}(h\rightarrow b\bar{b})\sim 58\%\) , in association with jet substructure techniques at the boosted Higgs regime.
